Module 10: Introduction to Signals and Systems

Lectures & Content

Folder description

Please click the folder link above to access the Module 10 instructional content. Module 10 contains 12 video lectures that present the following topics:

Linear Systems Sinusoidal Response (10A)
Linear Systems Step Function Response (10B)
State Space Models (Example 1)
Linear Systems Matrix Exponential (10C)
RLC Circuit in State Space Representation (Example 2)
Linear Systems Jordan Form (10D)
Linear Systems AFM (10E)
Delay-Adder-Gain System in State Space Representation (Example 3)
Discrete Time State Space Models (Example 4)
Linear Systems Feedback Linearization (10F)
Generalization of State Space Discrete Time LTI Models (Example 5)
Lost in Transition: Yeast Glycolysis States (10G)

Technical

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Module at a Glance ObjectivesHow to Complete This Module:

Cell description

Objectives

By the end of this module, you will be able to:

Explain Linear Feedback and its application to Dynamical Systems.
Apply the Matrix Exponential to a simple control problem.
Define the Jordan Form and its usage.
Describe how a Sinuosoidal response can be computed 1.
Apply the step function response to analyze a system.
Describe how state space models are utilized.
Apply the state space formalism to RLC circuits.
Understand the basics of yeast glycolysis and the operation of an AFM.

How to Complete This Module:

View lectures 10A-10G and Examples 1-5.
Complete the assigned reading to supplement the material presented in the lectures.
Participate in the module discussion.
Complete and submit the module assignment.
Complete the required entry in your personal learning journal.

Technical

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Readings

Cell description

This week's reading assignment includes the following:

Text Books

Astrom, J. K. & Murray, R.M. (2008).Feedback systems: An introduction for scientists and engineers. Princeton, NJ: Princeton University Press.Available at: http://www.cds.caltech.edu/~murray/amwiki/index.php/Second_Edition
- Review: Chapter 5
Chaparro, L. (2014). Signals and systems using MATLAB (2nd ed.). Academic Press.
- Review: Chapters 1-6

EReserves

The following supplemental readings are referenced in lecture 10G.

Johan H. van Heerden, Meike T. Wortel, Frank J. Bruggeman, & Joseph J. Heijnen, et. al. (16 JAN 14). Supplementary materials for lost in transition: Startup of glycolysis yields subpopulations of nongrowing cells. Science. Retrieved from: http://www.sciencemag.org/cgi/content/full/science.1245114/DC1.
J. H. van Heerden et al. (2014). Lost in transition: Start-up of glycolysis yields subpopulations of nongrowing cells. Science. 343. DOI: 10.1126/science.1245114.

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Module 10 Discussion Participation GuidelinesQuestion:

Cell description

Discussion forum rubric: 625.260 Discusssion Rubric

Participation Guidelines

Participation in class discussions are important in this course and to your final grade. Be energetic in your participation, posting discussion responses assigned in each module, interacting with other students and your instructor, in your responses and postings.

Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.

There is one discussion thread in this module. Submit your posts by clicking on the "Module 10 Discussion" link above and creating a new thread. Please contribute to the class discussion with your discussion about:

Question:

Thread 10.1

Have you worked with an AFM or similar feedback driven measurement before?
How comfortable are you with State Space representations at this point in the course?
Give an example of a problem where you think the Jordan form and/or the Matrix Exponential would help you (feel free to search the web if you).

For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.

Don’t be afraid to share your insights and discoveries. This is how we will build a community around the course.

You are asked not only to create an original post, but also to thoughtfully respond to at least two of your peers for full credit. Your initial posts are due by midnight on Day 4 of this module. Responses to your peers are due by midnight on Day 7 of this module.

Required Activity: 1 Original Post / 2 Responses Due by: Original Post 11:59PM Day 4, Responses 11:59PM Day 7

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font-size: small;\"><strong style=\"font-size: 13px;\"><strong style=\"font-size: 13px;\"><strong style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px;\">Discussion forum rubric:&nbsp;<span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_51355346_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-5740849-dt-content-rid-51355346_2/xid-51355346_2\" target=\"_blank\" style=\"font-size: 13px;\">625.260 Discusssion Rubric</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.260.81.FA18/Module%201/Discussion_Rubric.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00v5&amp;course_id=_169707_1&amp;ctxMenuXythosId=51355346_2&amp;course_id=_169707_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_6e6a3e0ce3bb4734846e59e8c08c669a,open_with_browser_6e6a3e0ce3bb4734846e59e8c08c669a,open_with_bbdrive_6e6a3e0ce3bb4734846e59e8c08c669a,openWebId_6e6a3e0ce3bb4734846e59e8c08c669a,view360Id_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,*separator*,ax-ally-placeholder_6e6a3e0ce3bb4734846e59e8c08c669a,ax-ally-markForAxAnalysis_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,*separator*,content_settings_6e6a3e0ce3bb4734846e59e8c08c669a,content_editSettings_6e6a3e0ce3bb4734846e59e8c08c669a,content_edit_6e6a3e0ce3bb4734846e59e8c08c669a,properties_folder_6e6a3e0ce3bb4734846e59e8c08c669a,itemcarot_managerecord_6e6a3e0ce3bb4734846e59e8c08c669a,comments_tool_6e6a3e0ce3bb4734846e59e8c08c669a,subscriptions_list_6e6a3e0ce3bb4734846e59e8c08c669a,content_readfile_6e6a3e0ce3bb4734846e59e8c08c669a,content_overwrite_6e6a3e0ce3bb4734846e59e8c08c669a,passes_tool_6e6a3e0ce3bb4734846e59e8c08c669a,permissions_tool_6e6a3e0ce3bb4734846e59e8c08c669a,content_add_alignment_6e6a3e0ce3bb4734846e59e8c08c669a,content_tracking_6e6a3e0ce3bb4734846e59e8c08c669a,content_versions_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,*separator*,bookmarkId_6e6a3e0ce3bb4734846e59e8c08c669a,itemsId_6e6a3e0ce3bb4734846e59e8c08c669a,packagesId_6e6a3e0ce3bb4734846e59e8c08c669a,emailId_6e6a3e0ce3bb4734846e59e8c08c669a,removeContentFolderId_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,copyContentId_6e6a3e0ce3bb4734846e59e8c08c669a,moveContentId_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,removeContentId_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,Metadata_General_6e6a3e0ce3bb4734846e59e8c08c669a,Metadata_Dublin_Core_6e6a3e0ce3bb4734846e59e8c08c669a,Metadata_IMS_6e6a3e0ce3bb4734846e59e8c08c669a,Metadata_Full_IMS_6e6a3e0ce3bb4734846e59e8c08c669a,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_6e6a3e0ce3bb4734846e59e8c08c669a\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_6e6a3e0ce3bb4734846e59e8c08c669a',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_6e6a3e0ce3bb4734846e59e8c08c669a',true);\" class=\"cmimg editmode jsInit   cmimg-hide\" href=\"#contextMenu\" title=\"Click for more options\"> <img src=\"/images/ci/icons/cmlink_generic.gif\" alt=\"Click for more options\" onload=\"page.ContextMenu.LI(event, 'cmdiv_6e6a3e0ce3bb4734846e59e8c08c669a',true);\"></a> \n </span></strong></strong></strong></p><strong style=\"font-size: 13px;\"><strong style=\"font-size: 13px;\"><strong style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px;\">  \n<input type=\"hidden\" name=\"51355346_2_fileReadWritePermAvl\" id=\"51355346_2_fileReadWritePermAvl\" value=\"false\"> \n<script type=\"text/javascript\" src=\"/javascript/cdn.js\"></script> \n<script type=\"text/javascript\" src=\"/groupjs/FF147D720E72E17F96127A7085584389.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/dirlistrightframe/dirlist.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/static/bbDriveUtil.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\">\n    (function(){\n     var f = function(){\n           if ( window.DWREngine )\n      {\n       if( DWREngine._batch )\n       {\n      \t try {DWREngine.endBatch();} catch(ignore) {}\n       }\n       try {DWREngine.beginBatch();} catch(ignore) {}\n      } \n             page.ContextMenu.hideMenuDiv('6e6a3e0ce3bb4734846e59e8c08c669a');\n            if ( window.DWREngine )\n      {\n        try {DWREngine.endBatch();} catch(ignore) {}\n      }\n               };\n     var f2 = function()\n     {\n       if ( page.isLoaded )\n       {\n         f();\n       }\n       else\n       {\n         setTimeout( f2, 500 );\n       }\n     }\n     f2();\n    })();\n   </script></strong></strong></strong><p></p> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_14\">Participation Guidelines</h3> \n <p style=\"margin-left: 30px;\">Participation in class discussions are important in this course and to your final grade. Be energetic in your participation, posting discussion responses assigned in each module, interacting with other students and your instructor, in your responses and postings.</p> \n <p style=\"margin-left: 30px;\">Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.&nbsp;</p> \n <p style=\"margin-left: 30px;\">There is one discussion thread in this module. Submit your posts by clicking on the \"Module 10 Discussion\" link above and creating a new thread. Please contribute to the class discussion with your discussion about:</p> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_15\">Question:</h3> \n <p style=\"margin-left: 30px;\"><strong style=\"font-size: 13px;\">Thread 10.1</strong></p> \n <ul style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"> \n  <li style=\"font-size: 13px;\">Have you worked with an AFM or similar feedback driven measurement before?</li> \n  <li style=\"font-size: 13px;\">How comfortable are you with State Space representations at this point in the course?</li> \n  <li style=\"font-size: 13px;\">Give an example of a problem where you think the Jordan form and/or the Matrix Exponential would help you (feel free to search the web if you).</li> \n </ul> \n <p style=\"margin-left: 30px;\">For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.</p> \n <p style=\"margin-left: 30px;\">Don’t be afraid to share your insights and discoveries. This is how we will build a community around the course.</p> \n <p style=\"margin-left: 30px;\">You are asked not only to create an original post, but also to thoughtfully respond to at least two of your peers for full credit. Your initial posts are due by midnight on Day 4 of this module. Responses to your peers are due by midnight on Day 7 of this module.</p> \n <p style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"><span style=\"text-decoration: underline;\">Required Activity</span>: 1 Original Post / 2 Responses<br> <span style=\"text-decoration: underline;\">Due by</span>: Original Post 11:59PM Day 4, Responses 11:59PM Day 7</p> \n</div>\n  </div>\n\n <div id=\"_5740849_1previewModule\" class=\"moduleSample\">\n </div>\n",
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    "html": "\n\n<img alt=\"Discussion Board\" src=\"/images/ci/sets/set01/discussion_on.gif\" class=\"item_icon\">\n\n<div class=\"item clearfix\" id=\"_5740849_1\">\n\n <h3 id=\"anonymous_element_13\">\n  <span class=\"reorder editmode hideme\"><span><img src=\"/images/ci/icons/generic_updown.gif\" alt=\"\"></span></span>\n\n\n            <a href=\"/webapps/blackboard/content/launchLink.jsp?course_id=_169707_1&amp;content_id=_5740849_1&amp;mode=view\"><span style=\"color:#0067ac;\">Module 10 Discussion</span></a>\n      </h3><a href=\"#\" class=\"ally-alternative-formats ally-prominent-af-download-button\" data-ally-external-id=\"content:_5740849_1\" data-ally-upload-type=\"RichContent\" title=\"Alternative formats\" style=\"display: none\">\n    <span class=\"ally-sr-only\">\n  \n\n\n            Module 10 Discussion\n      </span>\n</a>\n\n   \n </div>\n\n\n\n<div class=\"details\">\n    <div class=\"vtbegenerated\"> \n <p style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"><strong style=\"font-size: 13px;\"><strong style=\"font-size: 13px;\"><strong style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px;\">Discussion forum rubric:&nbsp;<span class=\"axScoreIndicator axVtbeEmbedded application\"><span data-ally-scoreindicator=\"_51355346_2\"></span></span>\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-5740849-dt-content-rid-51355346_2/xid-51355346_2\" target=\"_blank\" style=\"font-size: 13px;\">625.260 Discusssion Rubric</a> \n<span class=\"contextMenuContainer application\" style=\" display: inline;\" bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.260.81.FA18/Module%201/Discussion_Rubric.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00v5&amp;course_id=_169707_1&amp;ctxMenuXythosId=51355346_2&amp;course_id=_169707_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_6e6a3e0ce3bb4734846e59e8c08c669a,open_with_browser_6e6a3e0ce3bb4734846e59e8c08c669a,open_with_bbdrive_6e6a3e0ce3bb4734846e59e8c08c669a,openWebId_6e6a3e0ce3bb4734846e59e8c08c669a,view360Id_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,*separator*,ax-ally-placeholder_6e6a3e0ce3bb4734846e59e8c08c669a,ax-ally-markForAxAnalysis_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,*separator*,content_settings_6e6a3e0ce3bb4734846e59e8c08c669a,content_editSettings_6e6a3e0ce3bb4734846e59e8c08c669a,content_edit_6e6a3e0ce3bb4734846e59e8c08c669a,properties_folder_6e6a3e0ce3bb4734846e59e8c08c669a,itemcarot_managerecord_6e6a3e0ce3bb4734846e59e8c08c669a,comments_tool_6e6a3e0ce3bb4734846e59e8c08c669a,subscriptions_list_6e6a3e0ce3bb4734846e59e8c08c669a,content_readfile_6e6a3e0ce3bb4734846e59e8c08c669a,content_overwrite_6e6a3e0ce3bb4734846e59e8c08c669a,passes_tool_6e6a3e0ce3bb4734846e59e8c08c669a,permissions_tool_6e6a3e0ce3bb4734846e59e8c08c669a,content_add_alignment_6e6a3e0ce3bb4734846e59e8c08c669a,content_tracking_6e6a3e0ce3bb4734846e59e8c08c669a,content_versions_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,*separator*,bookmarkId_6e6a3e0ce3bb4734846e59e8c08c669a,itemsId_6e6a3e0ce3bb4734846e59e8c08c669a,packagesId_6e6a3e0ce3bb4734846e59e8c08c669a,emailId_6e6a3e0ce3bb4734846e59e8c08c669a,removeContentFolderId_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,copyContentId_6e6a3e0ce3bb4734846e59e8c08c669a,moveContentId_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,removeContentId_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,Metadata_General_6e6a3e0ce3bb4734846e59e8c08c669a,Metadata_Dublin_Core_6e6a3e0ce3bb4734846e59e8c08c669a,Metadata_IMS_6e6a3e0ce3bb4734846e59e8c08c669a,Metadata_Full_IMS_6e6a3e0ce3bb4734846e59e8c08c669a,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_6e6a3e0ce3bb4734846e59e8c08c669a\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_6e6a3e0ce3bb4734846e59e8c08c669a',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_6e6a3e0ce3bb4734846e59e8c08c669a',true);\" class=\"cmimg editmode jsInit   cmimg-hide\" href=\"#contextMenu\" title=\"Click for more options\"> <img src=\"/images/ci/icons/cmlink_generic.gif\" alt=\"Click for more options\" onload=\"page.ContextMenu.LI(event, 'cmdiv_6e6a3e0ce3bb4734846e59e8c08c669a',true);\"></a> \n </span></strong></strong></strong></p><strong style=\"font-size: 13px;\"><strong style=\"font-size: 13px;\"><strong style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 13px;\">  \n<input type=\"hidden\" name=\"51355346_2_fileReadWritePermAvl\" id=\"51355346_2_fileReadWritePermAvl\" value=\"false\"> \n<script type=\"text/javascript\" src=\"/javascript/cdn.js\"></script> \n<script type=\"text/javascript\" src=\"/groupjs/FF147D720E72E17F96127A7085584389.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/dirlistrightframe/dirlist.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\" src=\"/webapps/cmsmain/static/bbDriveUtil.js?v=3800.0.9-rel.16+8f8c3e7\"></script> \n<script type=\"text/javascript\">\n    (function(){\n     var f = function(){\n           if ( window.DWREngine )\n      {\n       if( DWREngine._batch )\n       {\n      \t try {DWREngine.endBatch();} catch(ignore) {}\n       }\n       try {DWREngine.beginBatch();} catch(ignore) {}\n      } \n             page.ContextMenu.hideMenuDiv('6e6a3e0ce3bb4734846e59e8c08c669a');\n            if ( window.DWREngine )\n      {\n        try {DWREngine.endBatch();} catch(ignore) {}\n      }\n               };\n     var f2 = function()\n     {\n       if ( page.isLoaded )\n       {\n         f();\n       }\n       else\n       {\n         setTimeout( f2, 500 );\n       }\n     }\n     f2();\n    })();\n   </script></strong></strong></strong><p></p> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_14\">Participation Guidelines</h3> \n <p style=\"margin-left: 30px;\">Participation in class discussions are important in this course and to your final grade. Be energetic in your participation, posting discussion responses assigned in each module, interacting with other students and your instructor, in your responses and postings.</p> \n <p style=\"margin-left: 30px;\">Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.&nbsp;</p> \n <p style=\"margin-left: 30px;\">There is one discussion thread in this module. Submit your posts by clicking on the \"Module 10 Discussion\" link above and creating a new thread. Please contribute to the class discussion with your discussion about:</p> \n <h3 style=\"color: #0067ac;\" id=\"anonymous_element_15\">Question:</h3> \n <p style=\"margin-left: 30px;\"><strong style=\"font-size: 13px;\">Thread 10.1</strong></p> \n <ul style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"> \n  <li style=\"font-size: 13px;\">Have you worked with an AFM or similar feedback driven measurement before?</li> \n  <li style=\"font-size: 13px;\">How comfortable are you with State Space representations at this point in the course?</li> \n  <li style=\"font-size: 13px;\">Give an example of a problem where you think the Jordan form and/or the Matrix Exponential would help you (feel free to search the web if you).</li> \n </ul> \n <p style=\"margin-left: 30px;\">For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.</p> \n <p style=\"margin-left: 30px;\">Don’t be afraid to share your insights and discoveries. This is how we will build a community around the course.</p> \n <p style=\"margin-left: 30px;\">You are asked not only to create an original post, but also to thoughtfully respond to at least two of your peers for full credit. Your initial posts are due by midnight on Day 4 of this module. Responses to your peers are due by midnight on Day 7 of this module.</p> \n <p style=\"font-style: normal; font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: small;\"><span style=\"text-decoration: underline;\">Required Activity</span>: 1 Original Post / 2 Responses<br> <span style=\"text-decoration: underline;\">Due by</span>: Original Post 11:59PM Day 4, Responses 11:59PM Day 7</p> \n</div>\n  </div>\n\n <div id=\"_5740849_1previewModule\" class=\"moduleSample\">\n </div>\n",
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        "body": "\n    <div> \n <p><strong><strong><strong>Discussion forum rubric:&nbsp;\n<a href=\"https://blackboard.jhu.edu/bbcswebdav/pid-5740849-dt-content-rid-51355346_2/xid-51355346_2\" target=\"_blank\">625.260 Discusssion Rubric</a> \n<span bb:menugeneratorurl=\"/webapps/cmsmain/webui/courses/EN.625.260.81.FA18/Module%201/Discussion_Rubric.pdf?action=details&amp;subaction=generateFileMenuItem&amp;uniq=vd00v5&amp;course_id=_169707_1&amp;ctxMenuXythosId=51355346_2&amp;course_id=_169707_1\" bb:navitem=\"\" bb:contextparameters=\"\" bb:menuorder=\"openId_6e6a3e0ce3bb4734846e59e8c08c669a,open_with_browser_6e6a3e0ce3bb4734846e59e8c08c669a,open_with_bbdrive_6e6a3e0ce3bb4734846e59e8c08c669a,openWebId_6e6a3e0ce3bb4734846e59e8c08c669a,view360Id_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,*separator*,ax-ally-placeholder_6e6a3e0ce3bb4734846e59e8c08c669a,ax-ally-markForAxAnalysis_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,*separator*,content_settings_6e6a3e0ce3bb4734846e59e8c08c669a,content_editSettings_6e6a3e0ce3bb4734846e59e8c08c669a,content_edit_6e6a3e0ce3bb4734846e59e8c08c669a,properties_folder_6e6a3e0ce3bb4734846e59e8c08c669a,itemcarot_managerecord_6e6a3e0ce3bb4734846e59e8c08c669a,comments_tool_6e6a3e0ce3bb4734846e59e8c08c669a,subscriptions_list_6e6a3e0ce3bb4734846e59e8c08c669a,content_readfile_6e6a3e0ce3bb4734846e59e8c08c669a,content_overwrite_6e6a3e0ce3bb4734846e59e8c08c669a,passes_tool_6e6a3e0ce3bb4734846e59e8c08c669a,permissions_tool_6e6a3e0ce3bb4734846e59e8c08c669a,content_add_alignment_6e6a3e0ce3bb4734846e59e8c08c669a,content_tracking_6e6a3e0ce3bb4734846e59e8c08c669a,content_versions_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,*separator*,bookmarkId_6e6a3e0ce3bb4734846e59e8c08c669a,itemsId_6e6a3e0ce3bb4734846e59e8c08c669a,packagesId_6e6a3e0ce3bb4734846e59e8c08c669a,emailId_6e6a3e0ce3bb4734846e59e8c08c669a,removeContentFolderId_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,copyContentId_6e6a3e0ce3bb4734846e59e8c08c669a,moveContentId_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,removeContentId_6e6a3e0ce3bb4734846e59e8c08c669a,*separator*,Metadata_General_6e6a3e0ce3bb4734846e59e8c08c669a,Metadata_Dublin_Core_6e6a3e0ce3bb4734846e59e8c08c669a,Metadata_IMS_6e6a3e0ce3bb4734846e59e8c08c669a,Metadata_Full_IMS_6e6a3e0ce3bb4734846e59e8c08c669a,\" bb:overwritenavitems=\"\" bb:beforeshowfunc=\"\"> <a id=\"cmlink_6e6a3e0ce3bb4734846e59e8c08c669a\" onfocus=\"page.ContextMenu.LI(event, 'cmdiv_6e6a3e0ce3bb4734846e59e8c08c669a',true);\" onmouseover=\"page.ContextMenu.LI(event, 'cmdiv_6e6a3e0ce3bb4734846e59e8c08c669a',true);\" href=\"#contextMenu\" title=\"Click for more options\"> </a> \n </span></strong></strong></strong></p><strong><strong><strong>  \n \n \n \n \n \n</strong></strong></strong> \n <h3 id=\"anonymous_element_14\">Participation Guidelines</h3> \n <p>Participation in class discussions are important in this course and to your final grade. Be energetic in your participation, posting discussion responses assigned in each module, interacting with other students and your instructor, in your responses and postings.</p> \n <p>Check the rubric above to ensure you understand the expectations and how you will be assessed on these important assignments.&nbsp;</p> \n <p>There is one discussion thread in this module. Submit your posts by clicking on the \"Module 10 Discussion\" link above and creating a new thread. Please contribute to the class discussion with your discussion about:</p> \n <h3 id=\"anonymous_element_15\">Question:</h3> \n <p><strong>Thread 10.1</strong></p> \n <ul> \n  <li>Have you worked with an AFM or similar feedback driven measurement before?</li> \n  <li>How comfortable are you with State Space representations at this point in the course?</li> \n  <li>Give an example of a problem where you think the Jordan form and/or the Matrix Exponential would help you (feel free to search the web if you).</li> \n </ul> \n <p>For responses to classmates' posts, please realize that just posting ‘I agree’ or ‘I disagree’ is not sufficient.</p> \n <p>Don’t be afraid to share your insights and discoveries. This is how we will build a community around the course.</p> \n <p>You are asked not only to create an original post, but also to thoughtfully respond to at least two of your peers for full credit. Your initial posts are due by midnight on Day 4 of this module. Responses to your peers are due by midnight on Day 7 of this module.</p> \n <p><span>Required Activity</span>: 1 Original Post / 2 Responses <span>Due by</span>: Original Post 11:59PM Day 4, Responses 11:59PM Day 7</p> \n</div>\n  "
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Quiz 3

Cell description

Please download the attachment to view Quiz 3, which consists of two problems that you should work through and submit.

***Please note that this is a timed assessment and that you should submit the quiz within 3 hours of accessing the quiz file attachment.***

Follow the general guidelines below to complete and submit the quiz.

Problems should be done neatly on paper and scanned or completed electronically using markup on a tablet device.
At the top of the page, include your name, module number, and page number (page 1 of 2, etc.)
Submit your answers in PDF (.pdf) format by uploading to Blackboard using the "Quiz 3" link above.

Required Activity: Submit answers to Quiz 3 Due by: 11:59 PM Day 7

Technical

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Module 10 Assignment

Cell description

In this module, you will complete the problem sets listed below as an assignment:

Astrom and Murray: (no problems)
Chaparro: problems 6.18 and 6.19 (2nd edition)

Follow the general guidelines below to complete and submit the assignment.

Problems should be done neatly on paper and scanned or completed electronically using markup on a tablet device.
At the top of the page, include your name, module number, and page number (page 1 of 2, etc.)
Submit your answers in PDF (.pdf) format by uploading to Blackboard using the "Module 9 Assignment" link above.

Required Activity: Submit answers to the problem sets.Due by: 11:59 PM Day 7

Technical

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Module 10 Personal Learning Journal

Cell description

In your learning journal entries for this week comment about:

How can aknowledge of dynamical systems contribute to your project and/or your long-term goals?
Work more on your project ideas and how they might best be implemented.

Click on the “Module 10 Personal Learning Journal” above to access your journal and create your entry.

Required Activity: Create a reflective personal journal entry post in response to the prompts given. Due by: 11:59 PM Day 7

Technical

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        "body": "\n    <div> \n <p>In your learning journal entries for this week comment about:</p> \n <ul> \n  <li>How can aknowledge of dynamical systems contribute to your project and/or your long-term goals?</li> \n  <li>Work more on your project ideas and how they might best be implemented.</li> \n </ul> \n <p>Click on the “Module 10 Personal Learning Journal” above to access your journal and create your entry.</p> \n <p><span>Required Activity</span>: Create a reflective personal journal entry post in response to the prompts given. <span>Due by</span>: 11:59 PM Day 7</p> \n</div>\n  "
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